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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 650–659 (Mi smj1203)  
This article is cited in 9 scientific papers (total in 9 papers)

A discrete-continuous model for a bisexual population dynamics

L. V. Nedorezova, Yu. V. Utyupinb

a International Center of Insect Physiology and Ecology
b Polytechnic Institute (branch of the YSU in the c. Mirniy)
Full-text PDF (204 kB) Citations (9)
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Abstract: We consider a parametric model for the dynamics of an isolated population with sex structure which is realized as a system of ordinary differential equations with impulses. The birth rate in the population in this model is assumed to be of a discrete character and the appearance of new generation specimens occurs at fixed moments, while the death rate is of a continuous character. We examine dynamical regimes of the model; in particular, we show that cyclic and chaotic regimes may occur for some values of parameters.
Keywords: ODE with impulses, population dynamics model.
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 511–518
DOI: https://doi.org/10.1023/A:1023821016511
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: L. V. Nedorezov, Yu. V. Utyupin, “A discrete-continuous model for a bisexual population dynamics”, Sibirsk. Mat. Zh., 44:3 (2003), 650–659; Siberian Math. J., 44:3 (2003), 511–518
Citation in format AMSBIB
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\by L.~V.~Nedorezov, Yu.~V.~Utyupin
\paper A discrete-continuous model for a bisexual population dynamics
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 3
\pages 650--659
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984709}
\zmath{https://zbmath.org/?q=an:1030.92024}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 3
\pages 511--518
\crossref{https://doi.org/10.1023/A:1023821016511}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183560300012}
Linking options:
  • https://www.mathnet.ru/eng/smj1203
  • https://www.mathnet.ru/eng/smj/v44/i3/p650
    • This publication is cited in the following 9 articles:
    1. E. Ya. Frisman, M. P. Kulakov, O. L. Revutskaya, O. L. Zhdanova, G. P. Neverova, “Osnovnye napravleniya i obzor sovremennogo sostoyaniya issledovanii dinamiki strukturirovannykh i vzaimodeistvuyuschikh populyatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 119–151  mathnet  crossref
    2. L. I. Rodina, “On asymptotic properties of solutions of control systems with random parameters”, Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S144–S153  mathnet  crossref  crossref  isi  elib
    3. Perevaryukha A.Yu., “Modeling Abrupt Changes in Population Dynamics With Two Threshold States”, Cybern. Syst. Anal., 52:4 (2016), 623–630  crossref  mathscinet  zmath  isi  scopus
    4. L. I. Rodina, “Ob invariantnykh mnozhestvakh upravlyaemykh sistem so sluchainymi koeffitsientami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2014, no. 4, 109–121  mathnet
    5. Ya. Yu. Larina, L. I. Rodina, “Statisticheskie kharakteristiki upravlyaemykh sistem, voznikayuschie v razlichnykh modelyakh estestvoznaniya”, Model. i analiz inform. sistem, 20:5 (2013), 62–77  mathnet
    6. L. I. Rodina, “O nekotorykh veroyatnostnykh modelyakh dinamiki rosta populyatsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2013, no. 4, 109–124  mathnet
    7. Nedorezov L.V., Utyupin Yu.V., “Nepreryvno-diskretnye modeli dinamiki chislennosti populyatsii”, Ekologiya. Seriya analiticheskikh obzorov mirovoi literatury, 2011, no. 95, 1–234  elib
    8. V. G. Ilichev, “Vypuklye struktury v modelyakh ekologii”, Matem. modelirovanie, 19:4 (2007), 90–102  mathnet  mathscinet  zmath
    9. Il'ichev V.G., “The concept of evolutionary stability in ecological models”, Differential Equations, 42:3 (2006), 347–358  mathnet  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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